113116320 has 72 divisors (see below), whose sum is σ = 386014356. Its totient is φ = 30163968.

The previous prime is 113116307. The next prime is 113116321. The reversal of 113116320 is 23611311.

113116320 is a `hidden beast` number, since 1 + 1 + 31 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 9809424 = 10164^2 + 3132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113116293 and 113116302.

It is not an unprimeable number, because it can be changed into a prime (113116321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37837 + ... + 40716.

Almost surely, 2^113116320 is an apocalyptic number.

113116320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113116320 is an abundant number, since it is smaller than the sum of its proper divisors (272898036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113116320 is a wasteful number, since it uses less digits than its factorization.

113116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78574 (or 78563 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113116320 is about 10635.6156380343. The cubic root of 113116320 is about 483.6246435196.

Adding to 113116320 its reverse (23611311), we get a palindrome (136727631).

The spelling of 113116320 in words is "one hundred thirteen million, one hundred sixteen thousand, three hundred twenty".